[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o

ROSI.  Note 9

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o

| Classification of Simple Relatives (cont.)
|
| f.  The sixth division is into relatives no power of which is zero,
|     and relatives some power of which is zero.  The former may be
|     termed 'inexhaustible', the latter 'exhaustible'.  An example
|     of the former is "spouse of __", of the latter, "husband of __".
|     All cyclics are inexhaustible.
|
| g.  Seventh, simple relatives may be divided into those
|     whose products into themselves are not zero, and those
|     whose products into themselves are zero.  The former may
|     be termed 'repeating', the latter, 'non-repeating' relatives.
|     All inexhaustible relatives are repeating.
|
| h.  Repeating relatives may be divided (after De Morgan) into those whose products
|     into themselves are contained under themselves, and those of which this is
|     not true.  The former are well named by De Morgan 'transitive', the latter
|     'intransitive'.  All transitives are inexhaustible;  all copulatives are
|     transitive;  and all transitive equiparants are copulative.  The class
|     of transitive equiparants has a character, that of being self-relatives,
|     not involved in the definitions of the terms.
|
| C.S. Peirce, CP 3.136
|
| C.S. Peirce,
|"Description of a Notation for the Logic of Relatives,
| Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic",
|'Memoirs of the American Academy', Volume 9, pages 317-378, 26 January 1870,
|'Collected Papers' (CP 3.45-149), 'Chronological Edition' (CE 2, 359-429).

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
inquiry e-lab: http://stderr.org/pipermail/inquiry/
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o